a+ b = 5, ab = 2 find $a^{3}$ + $b^{3}$

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Solution

${(a + b)}^{3}$ = $a^{3}$ + $b^{3}$ + 3ab (a + b)

$a^{3}$ + $b^{3}$ = ${(a + b)}^{3}$ - 3ab(a + b)

= $5^{3}$ - 3 × 2 × 5

= 125 - 30

= 95

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